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Finding the Fourth Proportional to 470,566.25, 649,380.92 and 255,705.80

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Solution

The fourth proportional to 470,566.25, 649,380.92 and 255,705.80 is: 352,873.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,566.25 : 649,380.92 = 255,705.80 : x
  2. Step 2: Convert to fraction form
    470,566.25/649,380.92 = 255,705.80/x
  3. Step 3: Cross multiply
    470,566.25x = 649,380.92 × 255,705.80
  4. Step 4: Simplify right side
    470,566.25x = 166,050,464,406.43
  5. Step 5: Solve for x
    x = 166,050,464,406.43/470,566.25
  6. Step 6: Final answer
    x = 352,873.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.